5218536960 has 960 divisors, whose sum is σ = 23593489920. Its totient is φ = 1035141120.

The previous prime is 5218536859. The next prime is 5218536997. The reversal of 5218536960 is 696358125.

5218536960 is a `hidden beast` number, since 5 + 21 + 8 + 536 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39836095 + ... + 39836225.

It is an arithmetic number, because the mean of its divisors is an integer number (24576552).

Almost surely, 2^5218536960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5218536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11796744960).

5218536960 is an abundant number, since it is smaller than the sum of its proper divisors (18374952960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5218536960 is a wasteful number, since it uses less digits than its factorization.

5218536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 5218536960 is about 72239.4418583090. The cubic root of 5218536960 is about 1734.5344154029.

The spelling of 5218536960 in words is "five billion, two hundred eighteen million, five hundred thirty-six thousand, nine hundred sixty".